Báo cáo toán học: "Asymptotics of coefficients of multivariate generating functions: improvements for smooth points" potx
Báo cáo toán học: "When can the sum of (1/p)th of the binomial coefficients have closed form" pot
... Recurrences for sums of powers of binomial coefficients, J.
Comb. Theory Ser. A
52
(1989), 77–83.
[McI] Richard J. McIntosh, Recurrences for alternating sums of powers of binomial
coefficients, J. ... form if s is an integer ≥ 3. The idea of his proof was to compare the actual
asymptotic behavior of the given sum, for fixed s and n →∞, with the asymptotic
behavior of a hypoth...
Báo cáo toán học: " Asymptotics of Young Diagrams and Hook Numbers" potx
... properties of the set of the hook numbers for some special families of
(fixed) skew-Young diagrams (Theorem1.2). The problem appeared in the study of
the hook formula for various kinds of Young ... problem
appeared in the study of the hook formula for various kinds of Young diagrams.
The proofs are based on properties of shifted Schur functions, due to Okounkov
and Olshan...
Báo cáo toán học: "Asymptotics for the Probability of Connectedness and the Distribution of Number of Components Jason P. Bell Department of Mathem" doc
... Euler characteristic of the surface, B depends on the type of map, and
A depends on both the type of map and the surface. See [22] for a proof of (7) for the
unrooted case and for further references.
Zvonkin ... proof of (4), we estimate a
n
.WehaveA(x)=A(x, 1) = L(x, 1)U(x, 1).
From LC, the coefficients of L(x, 1) are asymptotic to e
C(R)
c
n
. The radius of convergence...
Báo cáo toán học: " ASYMPTOTICS OF THE NUMBER OF k-WORDS WITH AN -DESCENT" pot
... n)=
w
1
···w
n
1 ≤ w
i
≤ k for all 1 ≤ i ≤ n
denote the set of words of length n on the alphabet {1, ···,k}.Awordw = w
1
···w
n
∈
W (k, n) is said to have a descent of length if there exist ... in
columns. Let s
k
(λ) denote the number of such k-tableaux. It is well known that s
k
(λ)is
the degree of a corresponding irreducible character of GL(k, C) (or of SL(k, C))....
Báo cáo toán học: "Asymptotics of Permutations with Nearly Periodic Patterns of Rises and Falls" ppsx
... last claim in the theorem.
9 Proofs of Theorems 1 and 2
All mentions of Run(···) in Theorem 1 are divided by factorials and so can be thought of as
functions of the form f(∗, ∗,γ) according to Lemma ... (For the “end” values, B
0
= C
0
and B
k
= C
k
.) This
complication is taken care of by writing down the same formula for all the L
i
empty and
dividing one formula by the other,...
Báo cáo toán học: "Asymptotics for the distributions of subtableaux in Young and up-down tableaux" pps
... need the same arguments from the proof of Lemma 2 in our
proof of Theorem 1, we will include the full proof of Lemma 2 there.
As examples of these lemmas, for the symmetric group, which has m ... number of standard tableaux of shape µ of size k is the
multiplicity of the representation with highest weight µ in the kth tensor power of the
defining representation of GL
n
,...
Báo cáo toán học: "Asymptotics of generating the symmetric and alternating groups" docx
... Babai, The probability of generating the symmetric group, J. Combin. Theory (Ser.
A) 52 (1989) 148–153.
[2] E.A. Bender, An asymptotic expansion for some coefficients of some formal power
series, ... t
n
has an asymptotic expansion of the form 1 +
∞
k=1
c
k
n
−k
where c
k
=
k−1
i=1
S(k −1,i)d
i+1
since S(m, 0) = 0 for m = 0. To compute the numerical values of the
coefficients...
Báo cáo toán học: "Asymptotics of the average height of 2–watermelons with a wall" pps
... the average height of p–
watermelons with a wall in terms of certain determinants. Moreover, we make these
formulas more explicit (in terms of sums of binomial coefficients) for the simple
cases ... classical work of de Bruijn, Knuth and Rice (giving the asymp-
totics of the average height of Dyck paths of length n) to the case of p–watermelons
with a wall (i.e., to a certa...
Báo cáo toán học: " Recursive analytical performance evaluation of broadcast protocols with silencing: application to VANETs EURASIP Journal on Wireless Communications and " pptx
... very idea of IF. The shape of p, as a function of d, is shown in Figure 5, for different values of c
and ρ
s
. It can be observed that the PAF of SIF is monotonically increasing and concave for all ... increasing and concave for all values of c.
Moreover, it becomes selective far small values of c (e.g., 1), while it tends to flatten for high values of c and
for low va...
Báo cáo toán học: " Structural and optical properties of ZnS thin films deposited by RF magnetron sputtering" potx
... pres-
sure of 5.0 × 10
-5
Torr. A 50-mm diameter ZnS target
(99.99%) was used for sputtering. In order to clean the sur-
face of the target, pre-sputtering for 10 min was per-
formed with an RF power of ... the large
amount of cadmium-containing waste during the deposi-
tion process. Therefore, the development of a Cd-free
buffer layer is one of the major objectives in the fie...